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Simplifying 141m2 + -54m + -35 = 2m + -6m2 Reorder the terms: -35 + -54m + 141m2 = 2m + -6m2 Solving -35 + -54m + 141m2 = 2m + -6m2 Solving for variable 'm'. Reorder the terms: -35 + -54m + -2m + 141m2 + 6m2 = 2m + -6m2 + -2m + 6m2 Combine like terms: -54m + -2m = -56m -35 + -56m + 141m2 + 6m2 = 2m + -6m2 + -2m + 6m2 Combine like terms: 141m2 + 6m2 = 147m2 -35 + -56m + 147m2 = 2m + -6m2 + -2m + 6m2 Reorder the terms: -35 + -56m + 147m2 = 2m + -2m + -6m2 + 6m2 Combine like terms: 2m + -2m = 0 -35 + -56m + 147m2 = 0 + -6m2 + 6m2 -35 + -56m + 147m2 = -6m2 + 6m2 Combine like terms: -6m2 + 6m2 = 0 -35 + -56m + 147m2 = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(-5 + -8m + 21m2) = 0 Factor a trinomial. 7((-1 + -3m)(5 + -7m)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(-1 + -3m)' equal to zero and attempt to solve: Simplifying -1 + -3m = 0 Solving -1 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -3m = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3m = 0 + 1 -3m = 0 + 1 Combine like terms: 0 + 1 = 1 -3m = 1 Divide each side by '-3'. m = -0.3333333333 Simplifying m = -0.3333333333Subproblem 2
Set the factor '(5 + -7m)' equal to zero and attempt to solve: Simplifying 5 + -7m = 0 Solving 5 + -7m = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -7m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7m = 0 + -5 -7m = 0 + -5 Combine like terms: 0 + -5 = -5 -7m = -5 Divide each side by '-7'. m = 0.7142857143 Simplifying m = 0.7142857143Solution
m = {-0.3333333333, 0.7142857143}
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